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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 970 · 40 questions
TalentJR

Engineer's tip (Both sides turn the same): Turning effect = force × distance from the fulcrum. Balance: load × load distance = effort × effort distance. Missing value = the known side’s product ÷ the other number on its own side.

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  1. 1.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 250 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Asha (330 N) sits 1 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Ravi (240 N) sits 3 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 160 N at 20 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) turning effects match (d) both weights are equal
  7. 7.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
  8. 8.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A lever bar balances. The load is 420 N at 20 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Ravi (380 N) sits ? m from the pivot on one side; Zoya (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (540 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (800 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Arjun (170 N) sits 2 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Arjun (340 N) sits 4 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Asha (260 N) sits ? m from the pivot on one side; Ravi (390 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Asha (160 N) sits ? m from the pivot on one side; Kabir (160 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Asha (200 N) sits 2 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Meena (760 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) colour of bar (d) time taken
  24. 24.⚖️ A seesaw balances. Kabir (400 N) sits 3 m from the pivot on one side; Asha (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Zoya (200 N) sits 4 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Arjun (640 N) sits ? m from the pivot on one side; Ravi (320 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 700 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Ravi (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Arjun (640 N) sits ? m from the pivot on one side; Asha (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Kabir (420 N) sits 4 m from the pivot on one side; Arjun (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 20 N at 40 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Kabir (600 N) sits 4 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 1000 N at ? cm from the fulcrum. The effort is 500 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Ravi (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 50
  2. 300
  3. 110
  4. 360
  5. 40
  6. turning effects match
  7. closer to the pivot
  8. 540
  9. 70
  10. 300
  11. 2
  12. 40
  13. 180
  14. 490
  15. 400
  16. 360
  17. 340
  18. 680
  19. 3
  20. 1
  21. 200
  22. 760
  23. distance from fulcrum
  24. 4
  25. 400
  26. 2
  27. 100
  28. 240
  29. 120
  30. 3
  31. 3
  32. 10
  33. 480
  34. 40
  35. 4
  36. 450
  37. 50
  38. 720
  39. 1
  40. 760

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